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Figure 3
Illustration of the procedure for generating random vector pairs v1/v2. In step 1, a random vector is v1 is picked from a uniform distribution on a unit sphere. In step 2, v1 is temporarily defined along [\hat{i}], around which a cone is defined with projection [\cos\omega]. From this cone, v2 can be picked by choosing a value of ψ from a uniform distribution [0, 2π]. In step 3, both v1 and v2 are rotated so that v1 is back to its original position.

Journal logoJOURNAL OF
SYNCHROTRON
RADIATION
ISSN: 1600-5775
Volume 28| Part 4| July 2021| Pages 1090-1099
https://doi.org/10.1107/S1600577521004021
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